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Finding the Fourth Proportional to 10,194.50, 14,070.12 and 6,001.94

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Solution

The fourth proportional to 10,194.50, 14,070.12 and 6,001.94 is: 8,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.50 : 14,070.12 = 6,001.94 : x
  2. Step 2: Convert to fraction form
    10,194.50/14,070.12 = 6,001.94/x
  3. Step 3: Cross multiply
    10,194.50x = 14,070.12 × 6,001.94
  4. Step 4: Simplify right side
    10,194.50x = 84,448,016.03
  5. Step 5: Solve for x
    x = 84,448,016.03/10,194.50
  6. Step 6: Final answer
    x = 8,283.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.